noun (plural cardinalities)Mathematics
The number of elements in a set or other grouping, as a property of that grouping.
- Cantor conjectured that there are no infinite cardinalities between the size of the natural numbers and the size of the real numbers (and so there are no sets S as described above).
- The Skolem-Lowenheim theorem asserts that any first-order theory having an infinite model has other models of all smaller infinite cardinalities.
- We understand that sets have a cardinality, that is, that collections have a number associated with them and it doesn't really matter what the members of that set are.
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